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Finding the Third Proportional to 207,698 and 297,012

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Solution

The third proportional to 207,698 and 297,012 is: 424,732.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,698 : 297,012 = 297,012 : x
  2. Step 2: Convert to fraction form
    207,698/297,012 = 297,012/x
  3. Step 3: Cross multiply
    207,698x = 297,012 × 297,012
  4. Step 4: Simplify right side
    207,698x = 88,216,128,144
  5. Step 5: Solve for x
    x = 88,216,128,144/207,698
  6. Step 6: Final answer
    x = 424,732.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.